Topologically localized insulators

Abstract

We show that fully-localized, three-dimensional, time-reversal-symmetry-broken insulators do not belong to a single phase of matter but can realize topologically distinct phases that are labelled by integers. The phase transition occurs only when the system becomes conducting at some filling. We find that these novel topological phases are fundamentally distinct from insulators without disorder: they are guaranteed to host delocalized boundary states giving rise to the quantized boundary Hall conductance, whose value is equal to the bulk topological invariant.

Published version

References in corpus (17)

• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• Classification of topological insulators and superconductors in three spatial dimensions
• Localization of interacting fermions at high temperature
• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• $(d-2)$-dimensional edge states of rotation symmetry protected topological states
• Reflection symmetric second-order topological insulators and superconductors
• Observation of the Quantum Spin Hall Effect up to 100 Kelvin in a Monolayer Crystal
• Topological Anderson Insulator
• Tunable Surface Conductivity in Bi2Se3 Revealed in Diffusive Electron Transport
• Topological surface states in three-dimensional magnetic insulators
• The insulator/Chern-insulator transition in the Haldane model
• Z2 topological term, the global anomaly, and the two-dimensional symplectic symmetry class of Anderson localization
• Compactly-supported Wannier functions and algebraic $K$-theory
• Hierarchy of higher-order topological superconductors in three dimensions
• Anderson localization and the topology of classifying spaces
• Bulk-and-edge to corner correspondence

Cited by in corpus (5)

• Floquet second-order topological Anderson insulator hosting corner localized modes
• Homotopic classification of band structures: Stable, fragile, delicate, and stable representation-protected topology
• Random-Flux-Induced Transition Sequence between Weak and Strong Topological Phases with Anisotropic Localization Properties
• Topological Phases of Many-Body Localized Systems: Beyond Eigenstate Order
• Topology of ultra-localized insulators and superconductors